204094080 has 320 divisors, whose sum is σ = 758292480. Its totient is φ = 52254720.

The previous prime is 204094031. The next prime is 204094097. The reversal of 204094080 is 80490402.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1606977 + ... + 1607103.

It is an arithmetic number, because the mean of its divisors is an integer number (2369664).

Almost surely, 2^204094080 is an apocalyptic number.

204094080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379146240).

204094080 is an abundant number, since it is smaller than the sum of its proper divisors (554198400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204094080 is a wasteful number, since it uses less digits than its factorization.

204094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 204094080 is about 14286.1499362144. The cubic root of 204094080 is about 588.7670123690.

The spelling of 204094080 in words is "two hundred four million, ninety-four thousand, eighty".